5 papers
Generalized Sobolev-Orlicz spaces based on the Riesz fractional gradient as interpolation and potential spaces
Pedro Miguel Campos, Guillermo García-Sáez
In this work we establish that the recently introduced fractional Sobolev spaces based on the Riesz fractional gradient of Musielak-Orlicz functions by one of the authors, coincide…
On generalized Sobolev-Orlicz spaces associated to the Riesz fractional gradient
Pedro Miguel Campos
We introduce a new family of function spaces, the fractional generalized Sobolev-Orlicz spaces , where is a generalized -function satisfying the $(\mathrm{Inc}…
An implicit two-phase obstacle-type problem for the -Laplacian with the fractional gradient
Pedro Miguel Campos, José Francisco Rodrigues
In this work we study an inhomogeneous two-phase obstacle-type problem associated to the -fractional -Laplacian. Besides the existence and uniqueness of solutions, we study t…
Unilateral Problems for Quasilinear Operators with Fractional Riesz Gradients
Pedro Miguel Campos, José Francisco Rodrigues
In this work, we develop the classical theory of monotone and pseudomonotone operators in the class of convex constrained Dirichlet-type problems involving fractional Riesz gradien…
On fractional and classical hyperbolic obstacle-type problems
Pedro Miguel Campos, José Francisco Rodrigues
We consider weak solutions for the obstacle-type viscoelastic () and very weak solutions for the obstacle inviscid () Dirichlet problems for the heterogeneous and anisotr…